Complex conjugate

Question

Determine th compex conjugate of the number below. Give all angles in radian measure from the interval [0,2pi).

z=5e^i(pi)

z=re>^io where r=____ and theta =______

Answer 1

Step 1:

(a)

The complex conjugate of the number is .

Eulers formula: .

Rewrite the complex conjugate .

The complex conjugate

(b)

The complex conjugate is .

From Eulers formula,

Hence,

Solution: